Project and Equity IRR

Can project IRR be les than equity IRR. In which cases?

Sure. If the company is funded with a mix of debt and equity, it’s cost of capital is lower than the cost of equity, so most projects will have an IRR lower than the cost of equity. If a specific project has very little risk, it’s IRR could be considerably less than the company’s overall cost of equity, particularly if the company has a lot of other risky projects.